the fraction 8/1 because when dividing fractions you want to flip the second fraction aka 8/1 and multiply the two together.
ex:
3 ÷ 8/1
3/1 × 1/8
answer- 3/24
hope this helps bb ♡
Answer:
<u>Option b. (x = 3, y = 20, z = -14)</u>
Step-by-step explanation:
Given:
2x + 2y + 3z = 4
5x + 3y + 5z = 5
3x + 4y + 6z = 5
Solve using Cramer’s rule
∴ ![\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%262%263%5C%5C5%263%265%5C%5C3%264%266%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C5%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
∴A = ![\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%262%263%5C%5C5%263%265%5C%5C3%264%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20-1)
Ax = ![\left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%263%5C%5C5%263%265%5C%5C5%264%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20-3)
Ay = ![\left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%264%263%5C%5C5%265%265%5C%5C3%265%266%5Cend%7Barray%7D%5Cright%5D%20%3D-20%5C%5C)
Az = ![\left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%262%264%5C%5C5%263%265%5C%5C3%264%265%5Cend%7Barray%7D%5Cright%5D%20%3D%2014)
∴ x = Ax/A = -3/-1 = 3
y = Ay/A = -20/-1 = 20
z = Az/A = 14/-1 = -14
<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>
Answer:
2 hours and 20.4 minutes
Step-by-step explanation:
2.34 * 60 (minutes) = 140.4 minutes or 2 hours and 20.4 minutes
The possible values of z is an illustration of the sum operator
The sum of all possible values of z is 17
<h3>How to determine the possible sum of z?</h3>
The conditions in the question are:
x <= y <= z
xyz = 2(x + y + z)
Using the trial by error method, the possible values of x, y and z are:
- x = 1 , y = 3 , z = 8
- x = 1 , y = 4 , z = 5
- x = 2 , y = 2 , z = 4
The sum of the z values are:
z = 8 + 5 + 4
Evaluate the sum
z = 17
Hence, the sum of all possible values of z is 17
Read more about the sum operator at:
brainly.com/question/2475734
The given is: <span>−2(x+1)≥3x+8
The first step is getting rid of the brackets using the distributive property.
The second and third steps is isolating the term containing the x on one side of the inequality using addition or subtraction property of order
The last step is getting rid of the coefficient of the x using the multiplication or division property of order.
So, the correct order of choices is:
1- </span>distributive property.
2- addition or subtraction property of order
3- addition or subtraction property of order
4- multiplication or division property of order.<span>
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